Abstract : Two viscous stabilization methods, namely the spectral vanishing viscosity (SVV) technique
and the entropy viscosity method (EVM), are applied to
flows of interest in geophysics. First,
following a study restricted to one space dimension, the spectral element approximation of
the shallow water equations is stabilized using the EVM. Our recent advances are here carefully
described. Second, the SVV technique is used for the large-eddy simulation of the spatial and
temporal development of the turbulent wake of a sphere in a stratified
fluid. We conclude
with a parallel between these two stabilization techniques.